Determine If the Series Converges or Diverges $$\sum _ { n = 1 } ^ { \infty } \left( \frac { 1 } { 3 ^ { 1 / ( n + 1 ) } } - \frac { 1 } { 3 ^ { 1 / n } } \right)$$

question 41

Multiple Choice

Determine if the series converges or diverges. If the series converges, find its sum.
- $$\sum _ { n = 1 } ^ { \infty } \left( \frac { 1 } { 3 ^ { 1 / ( n + 1 ) } } - \frac { 1 } { 3 ^ { 1 / n } } \right)$$

• A) converges; 1
• B) converges; \(- \frac { 1 } { 3 }\)
• C) converges; \(\frac { 2 } { 3 }\)
• D) diverges

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